Suppose you have an incline plane 120 cm long and inclined at 7.5 deg. Suppose you have a rotator (you aren't told if it's a sphere, disk, ring ... or something else...); the rotator is released from rest, rolls without slipping, and attains a center of mass velocity of 150 cm/s at the end of the incline. Leť's say this object has a mass of 50 grams and a radius of 2 cm. Whať's its moment of inertia, I, in grams x centimeters ^2? (since you don't know what sort of object this is, you have no way to automatically calculate its I, you need to use conservation of energy to figure out its I thru heavy use of algebra, good luck). What sort of rotator is this the closest to? (to answer THIS question, examine the value you get for I and compare it to the value you get if you simply do mR^2; take the ratio of I to mR^2 and compare this to the coefficients of various rotators which are typically of the form (coefficient) x mR^2). Hint – to use conservation of energy correctly, you need to factor the rotational kinetic energy, K-rot = (1/2) I (omega)^2 where (omega) is the angular velocity; you need to recall that the no slip condition is (center of mass velocity) = (radius) x (omega)

Suppose you have an incline plane 120 cm long and inclined at 7.5 deg. Suppose you have a rotator (you aren't told if it's a sphere, disk, ring ... or something else...); the rotator is released from rest, rolls without slipping, and attains a center of mass velocity of 150 cm/s at the end of the incline. Leť's say this object has a mass of 50 grams and a radius of 2 cm. Whať's its moment of inertia, I, in grams x centimeters ^2? (since you don't know what sort of object this is, you have no way to automatically calculate its I, you need to use conservation of energy to figure out its I thru heavy use of algebra, good luck). What sort of rotator is this the closest to? (to answer THIS question, examine the value you get for I and compare it to the value you get if you simply do mR^2; take the ratio of I to mR^2 and compare this to the coefficients of various rotators which are typically of the form (coefficient) x mR^2). Hint – to use conservation of energy correctly, you need to factor the rotational kinetic energy, K-rot = (1/2) I (omega)^2 where (omega) is the angular velocity; you need to recall that the no slip condition is (center of mass velocity) = (radius) x (omega)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The propeller on Don Karnage's airplane can be modeled as three identical thin rods of uniform density extending radially from the rotational axis of the propeller. To take off, the propeller must accelerate from rest to 633 rpm in 4 s. If the length and mass of each rod are 0.872 m and 3.11 kg, what must be the magnitude of torque in N*m) necessary to accelerate the propeller? Explain how you solved the problem involving something undergoing angular acceleration Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!
A tripod holding a nozzle, which directs a 5-cmdiameter stream of water from a hose, is shown. The nozzle mass is 10 kg when filled with water. The tripod is rated to provide 1800 N of holding force. A firefighter was standing 60 cm behind the nozzle and was hit by the nozzle when the tripod suddenly failed and released the nozzle. You have been hired as an accident reconstructionist and, after testing the tripod, have determined that as water flow rate increased, it did collapse at 1800 N. In your final report you must state the water velocity and the flow rate consistent with the failure and the nozzle velocity when it hit the firefighter. For simplicity, ignore pressure and momentum effects in the upstream portion of the hose
The sphere is dropped in gasoline at 20 ° C.Ignoring its acceleration phase, what will it's terminal (constant)fall velocity be, from Fig. ?
A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical direction
? = 20 degree , Ω = 20 ???/?, dynamics question
Where can i get the solution of Vector Mechanics For Engineers:Dynamic 12th SI units (written by beer) for free??
Consider steady flow of water through an axisymmetric garden hose nozzle. The axial component of velocity increases linearly from uz, entrance to uz, exit as sketched. Between z = 0 and z = L, the axial velocity component is given by uz = uz,entrance + [(uz,exit − uz,entrance)/L]z. Generate an expression for the radial velocity component ur between z = 0 and z = L. You may ignore frictional effects on the walls.
A wedge split a sheet of 20°C water in the air. Both wedge and sheet are 1 m long into the paper. The wedge angle is 60 degrees, the sheet thickness is Y cm and the sheet velocity is Y m/s. What is the required force to hold the wedge stationary? Assume Y is 4 (Hint, you can assume a uniform velocity distribution
A centrifugal pump discharged 20 L/s against a head of 17 m when the speed is 1500 rpm. The diameter of the impeller was 38 cm and the brake horsepower is 6. A geometrically similar pump 49 cm in diameter is to run at 1750 rpm, assuming equal efficiencies, what brake power is required in Hp?
The Russian Typhoon-class submarine is 170 m long, witha maximum diameter of 23 m. Its propulsor can deliverup to 80,000 hp to the seawater. Model the submarine asan 8:1 ellipsoid and estimate the maximum speed, in knots,of this ship.
Occupants of cars hit from behind, even at low speed, often suffer serious neck injury from whiplash. During a low‑speed rear‑end collision, a person's head suddenly pivots about the base of the neck through a 52∘52∘ angle, a motion that lasts 200 ms.200 ms. The distance from the base of the neck to the center of the head is typically about 20 cm,20 cm, and the head normally comprises about 6.0%6.0% of body weight. Model the motion of the head as having a uniform speed over the course of its pivot. Compute answers to two significant figures. What is the acceleration ?centacent of the head during the collision? ?cent=acent= m/s2m/s2 What force ?F does the neck exert on the head of a 70 kg70 kg person in the collision? Neglect the force of gravity on the head, and report the answer in units of both newtons and pounds. ?=F= NN ?=F= lbslbs Would headrests mounted to the backs of the car seats help protect against whiplash? Why…
A paramecium is an elongated unicellular organism with approximately 50 μmin diameters and 150 μmin lengths. It swims through water by whip-like movements of cilia, small hairs on the outside of its body. Because it moves "head first" through the water, drag is determined primarily by its diameter and only secondarily by its length, so it's reasonable to model the paramecium as a 70-μm diameter sphere. A paramecium uses 2.0 PW of locomotive power to propel itself through 20∘C water, where 1 pW = 1 picowatt = 10−12W. What is its swimming speed in μm/s? Express your answer in micrometers per second.